advertisement

Math 2413 Calculus I Quantities infinitely small or large This assignment has to be typed. In any typed work for this class use the following template ============================================================== John Smith Math 2413 Section XXX Semester Dr. Giraldo Date XXXXXXXX ============================================================= There are three ideas that appear in mathematics discussions often: Infinitely large, infinitely small, and infinitely close to or approximately a number. In this writing activity you will explain the way you understand these concepts. You shouldn’t consult any textbook. I just want to know how you think about these concepts. Your writing should be at most two pages (font size 12, 1.5 space). In your writing I want you to specifically address: a. How do you interpret the expression “Infinitely large”? b. How do you interpret the expression “Infinitely small”? c. How do you interpret the expression “0.9999… is approximately 1”? d. What is infinity for you? Is it a number? To help you organize your thoughts, these are some examples when these terms are used. Make sure you are in agreement with the way they are used before you attempt to write about them. 1. The numbers in the list 2, 7, 12, 17, ...(the ellipsis indicate that the numbers continue the pattern of formation) “get infinitely large” or “the numbers go to infinity” € 1 1 1 , , , get “very close to zero”, or they are “infinitely close 2 3 4 to zero”, or “infinitely small”. 2. The numbers € 3. The numbers close to 4”. € 9 11 13 15 , , , , get “very close to 4” or they are “infinitely 4 5 6 7